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Addition and Subtraction Problem Types and Strategies
Multiplication and Division Problem Types
Problem Type Task
Separate Change Unknown
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Separate Change Uknown
Connie had 13 marbles. She gave some to Juan. Now she has 5 marbles left. How many marbles did Connie give to Juan?
Direct Modeling:
(Separate to)
13 - ? = 5
13 - 8 = 5
Modeling:
(Separate From)
13 - 5 = ?
13 - 5 = 8
Modeling:
(Join to)
5 + ? = 13
5 + 8 = 13
Counting:
(Count down to)
13 - ? = 5
(Count down from)
13 - 5 = ?
(Count up to)
5 + ? = 13
Facts:
Student is unsure of the fact 13 - ? = 5.
Student knows that 10 - 5 = 5
The student the knows he needs to add 3 to the 5 (3 + 5), and finds that the answer is 8.
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Connie had 13 marbles. She gave some to Juan. Now she has 5 marbles left. How many marbles did Connie give to Juan?
Direct Modeling:
(Separate to)
13 - ? = 5
13 - 8 = 5
Modeling:
(Separate From)
13 - 5 = ?
13 - 5 = 8
Modeling:
(Join to)
5 + ? = 13
5 + 8 = 13
Counting:
(Count down to)
13 - ? = 5
(Count down from)
13 - 5 = ?
(Count up to)
5 + ? = 13
Facts:
Student is unsure of the fact 13 - ? = 5.
Student knows that 10 - 5 = 5
The student the knows he needs to add 3 to the 5 (3 + 5), and finds that the answer is 8.